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Finding the Third Proportional to 29,210 and 63,826

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Solution

The third proportional to 29,210 and 63,826 is: 139,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,210 : 63,826 = 63,826 : x
  2. Step 2: Convert to fraction form
    29,210/63,826 = 63,826/x
  3. Step 3: Cross multiply
    29,210x = 63,826 × 63,826
  4. Step 4: Simplify right side
    29,210x = 4,073,758,276
  5. Step 5: Solve for x
    x = 4,073,758,276/29,210
  6. Step 6: Final answer
    x = 139,464.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.